To solve this problem, we first need to calculate the scale factor by which Natalia will resize the photo.
The current photo size is 6 cm by 4 cm, and she wants to resize it so that the length is 15 cm. We can calculate the scale factor as:
Scale factor = New length / Old length
Scale factor = 15 cm / 6 cm
Scale factor = 2.5
Now that we have the scale factor, we can calculate the area of the postcard by squaring the scale factor and multiplying it by the original area of the photo:
Area of postcard = (2.5)^2 * (6 cm * 4 cm)
Area of postcard = 6.25 * 24
Area of postcard = 150 square centimeters
Therefore, the correct answer is 150 square centimeters.
Solve the following problem: Natalia prints a photo of a covered bridge. The print measures 6 centimeters by 4 centimeters. She wants to resize the photo into the size of a postcard with a length of 15 centimeters. What will be the area of the postcard?
2.5 square centimeters
60 square centimeters
150 square centimeters
24 square centimeters
pls help
7 answers
The rectangle shows the outline of a campsite in a national forest. Anna makes a scale drawing of the
campsite in which the longer side measures 1 meter. What is the area of the scale drawing in square
meters?
(1 point)
3.5 square centimeters
0.75 square meters
1.33 square meters
12 square meters
campsite in which the longer side measures 1 meter. What is the area of the scale drawing in square
meters?
(1 point)
3.5 square centimeters
0.75 square meters
1.33 square meters
12 square meters
To find the area of the scale drawing, we need to know the dimensions of the rectangle in the original campsite and the scale factor used by Anna.
Since the longer side of the original campsite measures 1 meter and the scale drawing uses this as the length, the scale factor is 1:1 for the longer side. Let the width of the original campsite be w meters.
Therefore, the area of the original campsite is 1 meter x w meters = w square meters.
Since the dimensions of the original campsite are not given, we cannot determine the exact area of the scale drawing. Without knowing the width of the original campsite or the scale factor used for the width in the scale drawing, we cannot accurately calculate the area of the scale drawing.
So, the answer cannot be determined from the information given in the problem.
Since the longer side of the original campsite measures 1 meter and the scale drawing uses this as the length, the scale factor is 1:1 for the longer side. Let the width of the original campsite be w meters.
Therefore, the area of the original campsite is 1 meter x w meters = w square meters.
Since the dimensions of the original campsite are not given, we cannot determine the exact area of the scale drawing. Without knowing the width of the original campsite or the scale factor used for the width in the scale drawing, we cannot accurately calculate the area of the scale drawing.
So, the answer cannot be determined from the information given in the problem.
The rectangle shows the outline of a campsite in a national forest. Anna makes a scale drawing of the
campsite in which the longer side measures 1 meter. What is the area of the scale drawing in square
meters?
(1 point)
3.5 square centimeters
0.75 square meters
1.33 square meters
12 square meters
The rectangle is 4 m high and 3 m wide
campsite in which the longer side measures 1 meter. What is the area of the scale drawing in square
meters?
(1 point)
3.5 square centimeters
0.75 square meters
1.33 square meters
12 square meters
The rectangle is 4 m high and 3 m wide
Given that the rectangle representing the campsite in the national forest is 4 meters high and 3 meters wide, we can calculate the actual area of the campsite.
Area of the campsite = height x width
Area of the campsite = 4m x 3m
Area of the campsite = 12 square meters
Since the longer side measures 1 meter in the scale drawing, the scale is given by 1:4. This means that 1 meter in the scale drawing represents 4 meters in the actual campsite for the width.
To find the area of the scale drawing, we need to consider the scale for both dimensions.
Area of the scale drawing = (1m x 4m) x (1m x 3m)
Area of the scale drawing = 4 square meters x 3 square meters
Area of the scale drawing = 12 square meters
Therefore, the area of the scale drawing in square meters is 12 square meters. Hence, the correct answer is 12 square meters.
Area of the campsite = height x width
Area of the campsite = 4m x 3m
Area of the campsite = 12 square meters
Since the longer side measures 1 meter in the scale drawing, the scale is given by 1:4. This means that 1 meter in the scale drawing represents 4 meters in the actual campsite for the width.
To find the area of the scale drawing, we need to consider the scale for both dimensions.
Area of the scale drawing = (1m x 4m) x (1m x 3m)
Area of the scale drawing = 4 square meters x 3 square meters
Area of the scale drawing = 12 square meters
Therefore, the area of the scale drawing in square meters is 12 square meters. Hence, the correct answer is 12 square meters.
Use the table to answer the question.
Original Poster Scale Drawing
left edge (in.) 36 ?
top edge (in.) 24 8
A local food organization puts out a healthy foods poster. The poster is in the shape of a rectangle,
and its dimensions are given in the table. Alfredo wants to make a smaller version of the poster to
hang up in the community center. He makes a scale drawing of the poster with the length of the top
edge given in the table. What is the area of Alfredo’s scale drawing?
(1 point)
square meters 1
3
96 square inches
192 square inches
12 square inches
Original Poster Scale Drawing
left edge (in.) 36 ?
top edge (in.) 24 8
A local food organization puts out a healthy foods poster. The poster is in the shape of a rectangle,
and its dimensions are given in the table. Alfredo wants to make a smaller version of the poster to
hang up in the community center. He makes a scale drawing of the poster with the length of the top
edge given in the table. What is the area of Alfredo’s scale drawing?
(1 point)
square meters 1
3
96 square inches
192 square inches
12 square inches
To find the area of Alfredo's scale drawing, we need to use the scale factor between the original poster and the scale drawing.
Given that the top edge of the original poster is 24 inches and the top edge of the scale drawing is 8 inches, we can find the scale factor for the top edge:
Scale factor = Top edge of scale drawing / Top edge of original poster
Scale factor = 8 inches / 24 inches
Scale factor = 1/3
We know that area scales by the square of the scale factor. Since the scale factor is 1/3, the area will scale down by (1/3)^2 = 1/9.
The area of the original poster is:
Area = Length x Width
Area = 24 inches x 36 inches
Area = 864 square inches
The area of Alfredo's scale drawing will be:
Area of scale drawing = Area of original poster x (1/9)
Area of scale drawing = 864 square inches / 9
Area of scale drawing = 96 square inches
Therefore, the area of Alfredo's scale drawing is 96 square inches.
Given that the top edge of the original poster is 24 inches and the top edge of the scale drawing is 8 inches, we can find the scale factor for the top edge:
Scale factor = Top edge of scale drawing / Top edge of original poster
Scale factor = 8 inches / 24 inches
Scale factor = 1/3
We know that area scales by the square of the scale factor. Since the scale factor is 1/3, the area will scale down by (1/3)^2 = 1/9.
The area of the original poster is:
Area = Length x Width
Area = 24 inches x 36 inches
Area = 864 square inches
The area of Alfredo's scale drawing will be:
Area of scale drawing = Area of original poster x (1/9)
Area of scale drawing = 864 square inches / 9
Area of scale drawing = 96 square inches
Therefore, the area of Alfredo's scale drawing is 96 square inches.
1 answer